Identification of electromagnetic sources

Physics

Scientific paper

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Atmospheric Radiation, Earth Magnetosphere, Electromagnetic Radiation, Radiation Sources, Picosecond Pulses, Wave Propagation, White Noise

Scientific paper

A description is given of a study of natural electromagnetic waves generated in the magnetosphere by a wave-particle interaction process, and of results which identify two sources using six component signals. The identification needs all the information of the spectral matrix, especially its eigenvalues and eigenvectors. This spectral matrix is computed with classical Fourier methods. Firstly, use is made of the property that the rank of the spectral matrix or the number of non-zero eigenvalues indicates the number of sources. As the eigenvalues are estimated, a criterion to separate the significant eigenvalues is proposed. Secondly, as it is known that two sources exist, it is shown that the identification of the sources is not possible without an hypothesis on the properties of the medium through which the waves propagate. With a rather realistic one it is possible, except for a phase factor, to identify the two sources of Pc 1.

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